2008 AMC 10A Problem 20


Trapezoid ABCDABCD has bases AB\overline{AB} and CD\overline{CD} and diagonals intersecting at KK . Suppose that AB=9AB = 9 , DC=12DC = 12 , and the area of AKD\triangle AKD is 2424 . What is the area of trapezoid ABCDABCD ?

(A) 92(B) 94(C) 96(D) 98(E) 100\mathrm{(A)}\ 92\qquad\mathrm{(B)}\ 94\qquad\mathrm{(C)}\ 96\qquad\mathrm{(D)}\ 98 \qquad\mathrm{(E)}\ 100


Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.

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Category: AMC 10A
Points: 3
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